Non-BPS Solutions of the Noncommutative CP^1 Model in 2+1 Dimensions

TL;DR

This paper discovers non-BPS soliton-anti-soliton solutions in a noncommutative CP^1 model in 2+1 dimensions, analyzing their stability and constructing dynamic solutions.

Contribution

It introduces new non-BPS solutions in the noncommutative CP^1 model, including unstable soliton-anti-soliton configurations and time-dependent solutions.

Findings

One-soliton one-anti-soliton solution is unstable at close distances.

Constructed time-dependent solutions.

Identified various solution types in the model.

Abstract

We find non-BPS solutions of the noncommutative CP^1 model in 2+1 dimensions. These solutions correspond to soliton anti-soliton configurations. We show that the one-soliton one-anti-soliton solution is unstable when the distance between the soliton and the anti-soliton is small. We also construct time-dependent solutions and other types of solutions.